SOLUTION: A nutritionist recommends that John eat eggs and fish to meet his body's protein and vitamin B requirements. Each ounce of egg contains 40 milligrams of protein and 20 milligrams o

Question 1002491: A nutritionist recommends that John eat eggs and fish to meet his body's protein and vitamin B requirements. Each ounce of egg contains 40 milligrams of protein and 20 milligrams of vitamin B. Each ounce of fish contains 50 milligrams of protein and 10 milligrams of vitamin B. John needs to reach a target of exactly 580 milligrams of protein and 200 milligrams of vitamin B.
If x and y represent the amounts in ounces of eggs and fish John needs to eat, set the equations of the system.
Express the simpler equation in terms of y.
How many ounces of eggs and fish should John eat?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A nutritionist recommends that John eat eggs and fish to meet his body's protein and vitamin B requirements.
Each ounce of egg contains 40 milligrams of protein and 20 milligrams of vitamin B.
Each ounce of fish contains 50 milligrams of protein and 10 milligrams of vitamin B.
John needs to reach a target of exactly 580 milligrams of protein and 200 milligrams of vitamin B.
If x and y represent the amounts in ounces of eggs and fish John needs to eat, set the equations of the system.
protein eq: 40x + 50y = 580
vitamin b: 20x + 10y = 200
Express the simpler equation in terms of y.
Add the two equations and you get:
60x + 60y = 780
simplify, divide by 60
x + y = 13
x = -y + 13
:
How many ounces of eggs and fish should John eat?
Replace x with (-y+13) in the 1st equation
40(-y+13) + 50y = 580
-40y + 520 + 50y = 580
10y = 580 - 520
10y = 60
10y = 60
y = 60/10
y = 6 oz of fish
then
x = -6 + 13
y = 7 oz of eggs
:
:
Check that out in the original 2nd equation
20(7) + 10(6) =
140 + 60 = 200

RELATED QUESTIONS
Formulate but do not solve the following exercise as a linear programming problem. A... (answered by Theo)

A dietitian wishes to plan a meal around three foods: The percentages of the daily... (answered by ikleyn)

A nutritionist is designing a new breakfast cereal using wheat germ and enriched oat... (answered by solver91311)

Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to... (answered by chen.aavaz)

Could you please help me out on this one? Ron ateends a party. He wants to limit his... (answered by stanbon)

Please help me with this, same question is on the test tomorrow according to the prof.... (answered by stanbon,solver91311)

Please help me with this, same question is on the test tomorrow according to the prof.... (answered by solver91311)

Please HELP with homework problem!! A dietitian designs a special dietary supplement... (answered by Theo)

Can someone please walk me through this? The daily requirements of a balanced diet for (answered by stanbon)